10290240324000 has 4032 divisors, whose sum is σ = 49695088584960. Its totient is φ = 2043756748800.

The previous prime is 10290240323969. The next prime is 10290240324043. The reversal of 10290240324000 is 42304209201.

10290240324000 is a `hidden beast` number, since 10 + 2 + 9 + 0 + 2 + 403 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 65542931922 + ... + 65542932078.

It is an arithmetic number, because the mean of its divisors is an integer number (12325170780).

Almost surely, 2^{10290240324000} is an apocalyptic number.

10290240324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290240324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847544292480).

10290240324000 is an abundant number, since it is smaller than the sum of its proper divisors (39404848260960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10290240324000 is a wasteful number, since it uses less digits than its factorization.

10290240324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10290240324000 in words is "ten trillion, two hundred ninety billion, two hundred forty million, three hundred twenty-four thousand".